Class 11 Maths Ncert Solutions Chapter 14 Ex 14.2 Mathematical Reasoning PDF

Class 11 Maths Ncert Solutions Ex 14.2

Class 11 Maths Ncert Solutions Chapter 14 Ex 14.2

Q.1: Write the opposite of the below mentioned statements:

(a). New Delhi is the capital of India.

(b). 3+1 is a complex number.

(c). All quadrilaterals are not squares.

(d). 9 is lesser than 7

(e). The square of every natural number is a even number

 

Sol:

(a) New Delhi is not the capital of India

(b) 3+1 is not a complex number.

(c) All quadrilaterals are squares.

(d) 9 is larger than 7

(e) The square of every natural number is not a even number.

 

 

Q.2: State whether the following statements are opposite to each other or not.

(a). The number 2 is not an even number

      The number 2 is not an odd number.

 

(b). The number 2 is an even number.

       The number 2 is an odd number.

 

Sol:

(a). The opposite of the Statement I is “The number 2 is even number “. The above statement is same as Statement II. The reason is if a number is not odd number then it is even number.

 

(b). The opposite of Statement I is “The number 2 is not an even number”. The above statement is same as Statement II.  The reason is if a number is not odd number then it is even number.

 

 

Q.3: Find out the component sentences from the below mentioned compound sentences, and determine whether they are true/ false.

(a). Number 5 is odd or it is a prime number.

(b). All integers are positive and negative.

(c). 1000 is divisible by 9 or 10

 

Sol:

(a).

(i).  Number 5 is odd

(ii).  Number 5 is a prime number.

In this case both the statements are true.

 

(b).

(i).  All integers are positive

(ii).  All integers are negative

In this case both the statements are false.

 

(c).

(i). 1000 is divisible by 9

(ii). 1000 is divisible by 10

In this case only statement (ii) is true. 

 

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